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2 years ago

15

If a total force exerted by water in a container with a bottom area of 3 square meters is 900 newtons, what's the water pressure

at the bottom of the container?

1 answer:

anyanavicka [17]2 years ago

6 0

<h3>Answer:</h3>

p=300 Pa

<h3>Explanation:</h3>

_______________

S=3 m²

F=900 N

_______________

p - ?

_______________

p=F/S=900 N / 3 m² = 300 Pa

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A cylinder with rotational inertia I1 = 2.0 kg·m2 rotates clockwise about a vertical axis through its center with angular speed

bazaltina [42]

Answer:

a) The angular speed of the combination is 0.667 radians per second (clockwise).

b) 98.829 per cent is lost due to friction.

Explanation:

a) Since no external load applied on any of the cylinders before, during and after the coupling, angular momentum of the entire system is constant. In consequence, we apply the Principle of Angular Momentum Conservation to calculate the final angular speed of the combination:

$I_{1}\cdot \omega_{1} + I_{2}\cdot \omega_{2} = (I_{1}+I_{2})\cdot \omega$ (1)

Where:

$I_{1}$ - Moment of inertia of the first cylinder, in kilogram-square meters.

$I_{2}$ - Moment of inertia of the second cylinder, in kilogram-square meters.

$\omega_{1}$ , $\omega_{2}$ - Initial angular speeds of the first and second cylinder, in radians per second.

$\omega$ - Final angular speed of the entire system, in radians per second.

If we know that $I_{1} = 2\,kg\cdot m^{2}$ , $I_{2} = 1\,kg\cdot m^{2}$ , $\omega_{1} = -5\,\frac{rad}{s}$ and $\omega_{2} = 8\,\frac{rad}{s}$ , then the final angular speed of the entire system is:

$\omega = \frac{I_{1}\cdot \omega_{1}+I_{2}\cdot \omega_{2}}{I_{1}+I_{2}}$

$\omega = -0.667\,\frac{rad}{s}$

The angular speed of the combination is 0.667 radians per second (clockwise).

b) By Principle of Energy Conservation and Work-Energy Theorem, the energy lost due to friction ( $E_{loss}$ ), in joules, is equal to the change in the total kinetic energy of the system. Given that both cylinder have pure rotation, kinetic energy is due to only rotation. That is:

$E_{loss} = \frac{1}{2} \cdot (I_{1}\cdot \omega_{1}^{2}+I_{2}\cdot \omega_{2}^{2}) - \frac{1}{2}\cdot (I_{1}+I_{2})\cdot \omega^{2}$ (2)

If we know that $I_{1} = 2\,kg\cdot m^{2}$ , $I_{2} = 1\,kg\cdot m^{2}$ , $\omega_{1} = -5\,\frac{rad}{s}$ , $\omega_{2} = 8\,\frac{rad}{s}$ and $\omega = -0.667\,\frac{rad}{s}$ , then the energy lost due to friction is:

$E_{loss} = \frac{1}{2} \cdot (I_{1}\cdot \omega_{1}^{2}+I_{2}\cdot \omega_{2}^{2}) - \frac{1}{2}\cdot (I_{1}+I_{2})\cdot \omega^{2}$

$E_{loss} = 56.333\,J$

The original amount of kinetic energy ( $K$ ), in joules, is:

$K = \frac{1}{2} \cdot (I_{1}\cdot \omega_{1}^{2}+I_{2}\cdot \omega_{2}^{2})$

$K = 57\,J$

Lastly, the percentage of the original kinetic energy lost to friction is:

$\%e = \frac{E_{loss}}{K}\times 100\,\%$

$\% e = 98.829\,\%$

98.829 per cent is lost due to friction.

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3 years ago

An observer notices that 12 waves pass by in 4 seconds. What is the frequency of these waves? 0.33 Hz 16 Hz 48 Hz 3 Hz

Dennis_Churaev [7]

Answer:

Frequency = 3 Hz

Explanation:

Frequency is a measure of Hertz. Recall that Hertz is the unit expressing cycles/second, where one second is the denominator of the fraction for simplicity. If there are 12 waves every four seconds, and one wave represents one cycle, dividing 12 waves by 4 seconds will give the answer of 3 waves (or cycles) per one second.

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3 years ago

What causes a decrease in an objects weight

Artist 52 [7]

The mass of an object can neither be change but the weight of the object can be changed.

<h3>What causes a decrease in an object weight?</h3>

The weight of the body or of an object can be changed if the body is placed farther away from the earth or placed in the planet which is far away from the earth's gravitational field, so the force of gravity on the object will change. However the mass of the body or mass of the object will remains the same regardless of whether the object is on Earth, in outer space, or on the Moon. By doing so the weight of the object or body will change but the mass remains the same.

So we can conclude that: The mass of an object can neither be change but the weight of the object can be changed.

Learn more about Weight here: brainly.com/question/86444

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1 year ago

Using the formula 1/2 (m x v2), what is the kinetic energy of a 4 kg rock falling through the air at 5 m/s

aivan3 [116]

Answer:

KE = 50J

Explanation:

$KE = \frac{1}{2}mv^{2} \\\\ KE = \frac{1}{2}(4)(5)^{2} \\\\ KE = 2(25) \\\\ KE = 50J$

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3 years ago

What is the importance of natural resources ?write 5 points

Whitepunk [10]

<h2>Hey there! </h2>

<h2>Natural Resource:</h2>

The resources, for example, sunshine, air, water, soil, plants, animals, minerals, rivers etc. which after natural formation remain distributed on the earth, are known as natural resource.
The natural resources are found in solid, liquid or gaseous states, and in metallic or non metallic form.

<h2>Hope it help you </h2>

5 0

3 years ago